4775760 has 200 divisors, whose sum is σ = 18364896. Its totient is φ = 1140480.

The previous prime is 4775747. The next prime is 4775791. The reversal of 4775760 is 675774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71247 + ... + 71313.

Almost surely, 2^4775760 is an apocalyptic number.

4775760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182448).

4775760 is an abundant number, since it is smaller than the sum of its proper divisors (13589136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4775760 is a wasteful number, since it uses less digits than its factorization.

4775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 4775760 is about 2185.3512303518. The cubic root of 4775760 is about 168.4020980588.

The spelling of 4775760 in words is "four million, seven hundred seventy-five thousand, seven hundred sixty".